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Finding the Fourth Proportional to 1,681.28, 2,318.08 and 1,059.20

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Solution

The fourth proportional to 1,681.28, 2,318.08 and 1,059.20 is: 1,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.28 : 2,318.08 = 1,059.20 : x
  2. Step 2: Convert to fraction form
    1,681.28/2,318.08 = 1,059.20/x
  3. Step 3: Cross multiply
    1,681.28x = 2,318.08 × 1,059.20
  4. Step 4: Simplify right side
    1,681.28x = 2,455,310.34
  5. Step 5: Solve for x
    x = 2,455,310.34/1,681.28
  6. Step 6: Final answer
    x = 1,460.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.